Number System

Chain rule is defined as: The composition of function and is the function whose value are found for each in the domain of for which is in the domain of is read as ( of of ) Theorem if is differentiable at point and is differentiable at point then composition function is differentiable at point

Conic sections or simply conics are the curves obtained by cutting a (double) right circular cone by a plane. Let be a line through the center of a given circle and perpendicular to its plane. Let be a fixed point on . All lines through and points on the circle generate a right circular cone.

Product Rule of Derivatives:If and are differentiable at , then is also differentiable at and . . . Subtracting . . Subtracting and Adding . . . . Taking. . . . Example 1 {Product rule of derivatives} Let and Now we use product Rule Example 2 [Product rule of derivatives] Let and Now we

Lagrange Theorem Statement: Both the order and Index of a subgroup of a finite group divide the order of a group. Lagrange Theorem Proof: Let be a subgroup of order of a finite group of order and let be the index of in . since is finite , the set {} all of distinct left

Quadratic Formula Derivation: Again there are some quadratic polynomials that are not factorable at all using integral coefficients. In such a case we can always find the solution of a quadratic equation by the quadratic formula. by applying a formula known as the quadratic formula. This formula is applicable for every quadratic equation. Derivation of

Quadratic Equation definition: A quadratic equation in is an equation that can be written in the form of are real numbers and .Another name for a quadratic equation in is 2nd Degree Polynomial in . Quadratic Equation Examples: The following equations are the quadratic equations: Solution of Quadratic Equations: There are three basic techniques for

For reasoning we have to use propositions. A declarative statement which may be trueor false but not both is called a proposition. According to Aristotle there could be only twopossibilities – a proposition could be either true or false and there could not be any thirdpossibility. This is correct so far as mathematics and other

Field definition math: A set S is called a field if the operations of addition ‘+ ’ and multiplication ‘. ’ on S satisfythe following properties are written in tabular form: Addition Closure for any set Commutativityfor any Associativityfor any Existence of Identityfor any such that Existence of Inversesfor any such that Distributivity for any